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Finding the Fourth Proportional to 65,433.92, 98,098.88 and 28,472

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Solution

The fourth proportional to 65,433.92, 98,098.88 and 28,472 is: 42,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,433.92 : 98,098.88 = 28,472 : x
  2. Step 2: Convert to fraction form
    65,433.92/98,098.88 = 28,472/x
  3. Step 3: Cross multiply
    65,433.92x = 98,098.88 × 28,472
  4. Step 4: Simplify right side
    65,433.92x = 2,793,071,311.36
  5. Step 5: Solve for x
    x = 2,793,071,311.36/65,433.92
  6. Step 6: Final answer
    x = 42,685.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.